Moderate deviations for linear eigenvalue statistics of β-ensembles

Autor:	Jianyong Mu, Fuqing Gao
Rok vydání:	2021
Předmět:	Statistics and Probability Algebra and Number Theory Discrete Mathematics and Combinatorics Moderate deviations Statistical physics Statistics Probability and Uncertainty Eigenvalues and eigenvectors Mathematics
Zdroj:	Random Matrices: Theory and Applications. 11
ISSN:	2010-3271 2010-3263
DOI:	10.1142/s2010326322500174
Popis:	We establish a moderate deviation principle for linear eigenvalue statistics of [Formula: see text]-ensembles in the one-cut regime with a real-analytic potential. The main ingredient is to obtain uniform estimates for the correlators of a family of perturbations of [Formula: see text]-ensembles using the loop equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b2a8f51939fa01dda3965346789c7a20 https://doi.org/10.1142/s2010326322500174 Zobrazit plný text záznamu